find the exact length of a Arc of a circle if the radius is 3 in and the angle is π/4 radians.

Answer :

The arc length is given as:

[tex]s=r\theta[/tex]

where r is the radius and theta is the angle (in radians). Then we have:

[tex]s=3\cdot\frac{\pi}{4}=\frac{3}{4}\pi[/tex]

therefore the exact arc length is:

[tex]s=\frac{3}{4}\pi[/tex]